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WEAK SATURATION AND WEAK AMALGAMATION PROPERTY

Published online by Cambridge University Press:  04 July 2019

IVAN DI LIBERTI
IVAN DI LIBERTI*
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS MASARYK UNIVERSITY, FACULTY OF SCIENCES KOTLÁŘSKÁ 2, 611 37BRNO, CZECH REPUBLIC E-mail: diliberti@math.muni.cz
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Abstract

We study the two model-theoretic concepts of weak saturation and weak amalgamation property in the context of accessible categories. We relate these two concepts providing sufficient conditions for existence and uniqueness of weakly saturated objects of an accessible category ${\cal K}$. We discuss the implications of this fact in classical model theory.

Keywords

18C3503C52Fraïssé classesaccessible categoriescategorical model theoryweak amalgamation propertyweak saturation

Information

Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 3 , September 2019 , pp. 929 - 936
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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